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Finding the Fourth Proportional to 97,850.86, 135,034.17 and 55,409.38

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Solution

The fourth proportional to 97,850.86, 135,034.17 and 55,409.38 is: 76,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.86 : 135,034.17 = 55,409.38 : x
  2. Step 2: Convert to fraction form
    97,850.86/135,034.17 = 55,409.38/x
  3. Step 3: Cross multiply
    97,850.86x = 135,034.17 × 55,409.38
  4. Step 4: Simplify right side
    97,850.86x = 7,482,159,638.51
  5. Step 5: Solve for x
    x = 7,482,159,638.51/97,850.86
  6. Step 6: Final answer
    x = 76,464.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.